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Do Now – (6 x 2), (3 1 ), (10 + 2). Please pick up your guided notes and respond to the following SILENTLY & INDEPENDENTLY: Write the slope-intercept form equation. Identify all the variables in the slope-intercept form equation. - PowerPoint PPT Presentation
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Do Now – (6 x 2), (31), (10 + 2) Please pick up your guided notes and
respond to the following SILENTLY & INDEPENDENTLY:
1. Write the slope-intercept form equation.2. Identify all the variables in the slope-
intercept form equation.3. Identify the slope and y-intercept of the
equation: 3x = 12y - 21
Weekly Agenda
Monday – Converting equations from standard form into slope intercept form.
Tuesday – Converting equations from standard form into slope intercept form.
Wednesday – Identifying x and y values on a graph.
Thursday – Linear vs nonlinear Equations.
Friday - Quiz
Today’s Objective
SWBAT convert an equation from standard form into slope-intercept form.
Converting from Standard Form to Slope-Intercept Form
As a reminder, you can not identify the slope or the y-intercept of a an equation without it being in slope-intercept form.
When converting an equation from standard form to slope-intercept form, follow these steps:
1. Write the equation for slope-intercept form (y = mx+ b).
2. Identify what term needs to be moved to make the equation look like y = mx + b.
3. Move terms to the correct side by changing signs when moving sides of the equal sign.
4. Isolate y if there is a coefficient, other than 1, by dividing both sides by the coefficient.
5. Simplify all terms.
Example 1
Watch as I walk through this one. Convert the equation and ID the slope
and y-int.
10x = -2y + 14
Example 2
Watch as I walk through this one. Convert the equation and ID the slope
and y-int. -6y + 24 = -30x
Example 3
Walk me through this one. Convert the equation and ID the slope
and y-int. 2 = 5x – 6y
Example 4
Walk me through this one. Convert the equation and ID the slope
and y-int. 9x = -18 + 27y
Example 5
Walk me through this one. Convert the equation and ID the slope
and y-int. -77x = 11y - 22
Example 6
Walk me through this one. Convert the equation and ID the slope
and y-int. -95y = -190 – 95x
Example 7
Work on this one with your partner. Convert the equation and ID the slope
and y-int. 8x = 64 – 72y
Example 8
Work on this one with your partner. Convert the equation and ID the slope
and y-int. -1 = 10x – 4y
Example 9
Work on this one with your partner. Convert the equation and ID the slope
and y-int. -3x = -10 + 7y
Example 10
Work on this one on your own. Convert the equation and ID the slope
and y-int. -3x = -10 + 7y
Example 11
Work on this one on your own. Convert the equation and ID the slope
and y-int. 5y = -10 + 15x
Example 12
Work on this one on your own. Convert the equation and ID the slope
and y-int. 7x = -28y + 9
Example 13
Work on this one on your own. Convert the equation and ID the slope
and y-int. -10 = 50y + 25
Example 114
Work on this one on your own. Convert the equation and ID the slope
and y-int. -9y = -36 + 45x
Exit Ticket
Each of you will complete your exit ticket on a note card.
You will complete the exit ticket in 5 minutes and it must be turned in before you can exit the classroom.
You must work SILENTLY and INDEPENDENTLY.
HOMEWORK – Worksheet
Do Now – (32 + 31), (√16), (√121)
Please respond to the following on your guided notes SILENTLY & INDEPENDENTLY:
1. Identify the slope and y-intercept:4x = -12 + 8y
2. Identify the slope and y-intercept:12x = 24y - 48
Today’s Agenda
SWBAT convert an equation from standard form into slope-intercept form.
Whiteboard Practice
Students will be given 1 minute to work through the problems on the board and identify the slope and y-intercept.
You are to work on each problem SILENTLY & INDEPENDENTLY.
Please keep your answers to yourself and write them on your guided notes when you are finished!
On the count of three, you will raise your board into the air – your answer must be boxed!
I will then go around and check your problem. Write legibly because boards will be randomly
selected for explanation.
Example 1
-10 = 20x + 5y
Example 2
-21 = 7x -14y
Example 3
9y = 36 – 18x
Example 4
-15x = 30y - 10
Example 5
2x -4y = 8
Example 6
3y = 12 – 6x
Example 7
8x = -16y + 32
Example 8
20x = 40y - 20
Example 9
6x + 3y = -24
Example 10
8x = 2y + 32
Example 11
-15x – 30 = 5y
Example 12
28 – 14y = 7x
Example 13
-6x + 12 = 3y
Example 14
16 = 32x – 8y
Example 15
4x = 12y + 16
Example 16
30 = -60x + 15y
Example 17
12y = -24 + 6y
Example 18
-15x = 30 - 3y
Example 19
22x = 88 – 11y
Example 20
-75 = 25x + 5y
Exit Ticket
Each of you will complete your exit ticket on a note card.
You will complete the exit ticket in 5 minutes and it must be turned in before you can exit the classroom.
You must work SILENTLY and INDEPENDENTLY.
HOMEWORK – Worksheet
Exit Ticket
Do Now – (√144), (√25), (10 + 2)
Please respond to the following on your guided notes SILENTLY & INDEPEDENTLY:1. Identify the slope and y-intercept
-12 = 24x + 48y
2. What is the slope of a line that passes through (-10,5) & (20 – 15)?
Today’s Objective
SWBAT identify the coordinate of the y-intercept and the x value of a graph.
Identifying Coordinates & Values
On the tcap, they will ask for the ordered pair of the y-intercept.
The y-intercpet is always on the y-axis so the ordered pair always has a 0 for the x coordinate and the y coordinate is wherever the graph crosses the y-axis. (i.e. (0, y-int).
The ordered pair for the y-intercept to the right is (0,2).
Identifying Coordinates & Values
Furthermore, the TCAP will have you identify x values on the graph.
To find the y values, look at the x-value identified and determine the corresponding y value on the graph.
Or, you can sub the x-value into the equation of the graph and solve for y.
Example: If x = 2, what is the value of y? Answer: x = 8 Answer: y = 3x + 2 sub 2 in for x and
solve for y to get 8.
Example 1 – Watch as I walk through this one.
Write the ordered pair for the y-intercept. When x = -4, what is y?
Example 2 – Watch as I walk through this one.
Write the ordered pair for the y-intercept. When x = 1, what is y?
Example 3 – Watch as I walk through this one.
Write the ordered pair for the y-intercept. When x = -4, what is y?
Example 4 – Walk me through this one.
Write the ordered pair for the y-intercept. When x = 1, what is y?
Example 5 – Walk me through this one.
Write the ordered pair for the y-intercept. When x = 4, what is y?
Example 6 – Work on this one with your partner.
Write the ordered pair for the y-intercept. When x = -3, what is y?
Example 7 – Work on this one with your partner.
Write the ordered pair for the y-intercept. When x = 2, what
is y?
Example 8 – Work on this one with your partner.
Write the ordered pair for the y-intercept. When x = 2, what is y?
Example 9 – Work on this on your own.
Write the ordered pair for the y-intercept. When x = 2,
what is y?
Example 10 – Work on this on your own.
Write the ordered pair for the y-intercept.
When x = ½, what is y?
Example 11 – Work on this on your own.
Write the ordered pair for the y-intercept. When x = -3, what is y?
Example 12 – Work on this on your own.
Write the ordered pair for the y-intercept. When x = 2, what is y?
Exit Ticket
Each of you will complete your exit ticket on a note card.
You will complete the exit ticket in 5 minutes and it must be turned in before you can exit the classroom.
You must work SILENTLY and INDEPENDENTLY.
HOMEWORK – Worksheet
Exit Ticket
Do Now – (6 x 2), (3 x 2), (4 + 8)
Please take out your guided notes and respond to the following SILENTLY & INDEPENDENTLY:
1. Identify the slope and y-intercept.5x = 10y – 50
2. Write the coordinate for the y-intercept.
3. When x = 1.5, what is y?
Today’s Objective
SWBAT identify a function as linear or nonlinear based off of an equation or
graph.
I LOVE functions!
Functions: Linear or Nonlinear As a reminder, let’s go over the
definition of a function. Function: A relationship between x
and y where each x value has only 1 y value.
Functions can be 2 different types:1. Linear2. Nonlinear
Functions: Linear or Nonlinear
Linear Function: A function that forms a straight line when graphed. ID’d by the following formula: y = mx + b
Where the variables DO NOT HAVE an exponent other than 1.
Ex: y = 2x - 7 Nonlinear Function: A function that does
not result in a straight line when graphed. ID’d by any equation where
THERE IS an exponent on x or y. Ex: y = 2x2 + 4
Functions: Linear or Nonlinear
Linear Function
y = 2x - 7
Nonlinear Function y = 2x2 - 7
Functions: Linear or Nonlinear
•This makes sense when the equations are graphed, watch as these are graphed. Linear Function
y = 2x + 2
Nonlinear Function y = x2 - 2
Functions: Linear or Nonlinear Walk me through this example. Example 1: Is this linear or nonlinear?
How do you know?
Functions: Linear or Nonlinear Walk me through this example. Example 2: Is this linear or nonlinear?
How do you know?
Functions: Linear or Nonlinear Walk me through this example. Example 3: Is this linear or nonlinear?
How do you know?
Functions: Linear or Nonlinear Walk me through this example. Example 4: Is this linear or nonlinear?
How do you know?
y3 = 5x
Functions: Linear or Nonlinear Walk me through this example. Example 5: Is this linear or nonlinear?
How do you know?
y = x3 + 2
Functions: Linear or Nonlinear Complete this one WITH YOUR PARTNER. Example 6: Is this linear or nonlinear?
How do you know?
y = -x - 7
Functions: Linear or Nonlinear Complete this one WITH YOUR PARTNER. Example 7: Is this linear or nonlinear?
How do you know?
y = ½x2 -8
Functions: Linear or Nonlinear Complete this one ON YOUR OWN. Example 8: Correctly pair the equation
with the graph.
a) y = ¼x - 10
b) y = 2x2 + 2
Functions: Linear or Nonlinear Complete this one ON YOUR OWN. Example 9: Correctly pair the equation
with the graph.
a) y = ½x - 3 b) y = -½x -3
Functions: Linear or Nonlinear Agree (Thumbs UP) or Disagree (Thumbs DOWN)
with the following statement.
Example 10: A linear function can be identified by an equation (y = mx + b) where x has an exponent of 2 or greater.
Functions: Linear or Nonlinear Agree (Thumbs UP) or Disagree (Thumbs
DOWN) with the following statement.
Example 11: A nonlinear function looks like a line when graphed.
Quiz Overview
Topics on BIG QUIZ! Identifying slope and y-intercept. Converting equations from standard form to
slope intercept form. Writing equations given a graph. Identifying the ordered pair of the y-
intercept. Identifying the y value, given an x value. Identifying equations and pictures as linear
or nonlinear.
Exit Ticket
Each of you will complete your exit ticket on a note card.
You will complete the exit ticket in 5 minutes and it must be turned in before you can exit the classroom.
You must work SILENTLY and INDEPENDENTLY.
HOMEWORK – Worksheet
Exit Ticket
Do Now – (121), (21/3), (6 + 6) Please clear off your desk of everything
except your pencil, your calculator, and a plain sheet of paper.
The longer it takes you to do this, the less time you will have for your quiz!